Sentence examples for by numerically computing the from inspiring English sources

We assess the stability of these spaces by numerically computing the inf sup constants of several meshes.

A strength of this method isthat, by numerically computing the locations of a few key curves in phase space, we canobtain information about model trajectories generated by arbitrary initial conditionsand determine how complex changes in stable firing patterns occur as parameters arevaried.

The velocity of dynamic fluid is quantified in real time by numerically computing the shift of intensities within the quantized regions of each set of temporally consecutive images.

More specifically, the curves have been obtained by calculating (6) and (19) for many channel realizations and numerically computing the average.

In the first step, a quick sketch of the optimal values was captured by numerically computing their partial derivatives at 65 points scattered in the 4-dimensional parameter space {a, s, α, P} (Tables S1, S2, S3, S4 for β = 1; Tables S5 to S8 for β = 4/3).

The second strategy was to bypass continuation by numerically computing perturbation series in δ and forming Padé approximants to obtain a very accurate approximation at δ = 1.

We numerically compute the diffraction of a plane wave by the grating by a rigorous coupled waves algorithm (RCWA).

Arnolds et al. numerically computed the fluctuation of position by using Langevin equation [19] and Fokker-Planck equation [20].

We numerically compute the spectral shift the probe by applying a Gaussian phase, offset in time by τ, resulting in an expected shift of 3.7 × 10−4 nm, which will yield a lock-in signal amplitude of 28 μVRMS.

First, we numerically computed the thresholds.

To numerically compute the covariances a i j from spike count simulations we used the covariance-matrix estimator proposed by [31].